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In this paper, we present a comprehensive theoretical comparison of diffusion and flow matching under the Generator Matching framework. Despite their apparent differences, both diffusion and flow matching can be viewed under the unified…

Machine Learning · Computer Science 2024-12-18 Zeeshan Patel , James DeLoye , Lance Mathias

The remarkable success of the autoregressive paradigm has made significant advancement in Multimodal Large Language Models (MLLMs), with powerful models like Show-o, Transfusion and Emu3 achieving notable progress in unified image…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Ling Yang , Xinchen Zhang , Ye Tian , Chenming Shang , Minghao Xu , Wentao Zhang , Bin Cui

Discovering heterogeneous catalysts tailored for specific reaction intermediates remains a fundamental bottleneck in materials science. While traditional trial-and-error methods and recent generative models have shown promise, they struggle…

Materials Science · Physics 2026-05-19 Minkyu Kim , Nayoung Kim , Honghui Kim , Sungsoo Ahn

Laplacian mixture models identify overlapping regions of influence in unlabeled graph and network data in a scalable and computationally efficient way, yielding useful low-dimensional representations. By combining Laplacian eigenspace and…

Machine Learning · Statistics 2018-10-03 Daniel Korenblum

We report a new algorithm to generate Laplacian Growth Patterns using iterated conformal maps. The difficulty of growing a complete layer with local width proportional to the gradient of the Laplacian field is overcome. The resulting growth…

Statistical Mechanics · Physics 2009-11-10 Anders Levermann , Itamar Procaccia

Understanding galaxy morphology evolution across cosmic time requires models that can generate realistic galaxy populations conditioned on redshift. In this work, we study efficient redshift-conditioned generative modeling for astrophysical…

Instrumentation and Methods for Astrophysics · Physics 2026-05-19 Tianyue Yang , Sandro Tacchella , Xiao Xue

Sequential probabilistic inference from streaming observations requires modeling distributions over future trajectories as new observations arrive. Although diffusion and flow-matching models are effective at capturing high-dimensional,…

Machine Learning · Computer Science 2026-05-15 Yinan Huang , Hans Hao-Hsun Hsu , Junran Wang , Bo Dai , Pan Li

Generating high-resolution images with generative models has recently been made widely accessible by leveraging diffusion models pre-trained on large-scale datasets. Various techniques, such as MultiDiffusion and SyncDiffusion, have further…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Stanislav Frolov , Brian B. Moser , Andreas Dengel

Taming the generation outcome of state of the art Diffusion and Flow-Matching (FM) models without having to re-train a task-specific model unlocks a powerful tool for solving inverse problems, conditional generation, and controlled…

Machine Learning · Computer Science 2024-07-23 Heli Ben-Hamu , Omri Puny , Itai Gat , Brian Karrer , Uriel Singer , Yaron Lipman

Estimating causal effects from observational data has become increasingly critical in diverse fields including healthcare, economics, and social policy. The fundamental challenge in causal inference arises from the missing counterfactuals…

Machine Learning · Computer Science 2026-05-08 Yifei Xie , Jian Huang

Long video generation has gained increasing attention due to its widespread applications in fields such as entertainment and simulation. Despite advances, synthesizing temporally coherent and visually compelling long sequences remains a…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Jiahao Chen , Hangjie Yuan , Yichen Qian , Jingyun Liang , Jiazheng Xing , Pengwei Liu , Weihua Chen , Fan Wang , Bing Su

Acquiring temporally high-frequency and spatially high-resolution turbulent wake flow fields in particle image velocimetry (PIV) experiments remains a significant challenge due to hardware limitations and measurement noise. In contrast,…

Machine Learning · Computer Science 2025-08-26 Junle Liu , Chang Liu , Yanyu Ke , Qiuxiang Huang , Jiachen Zhao , Wenliang Chen , K. T. Tse , Gang Hu

Spatial transcriptomics (ST) has emerged as a powerful technology for bridging histology imaging with gene expression profiling. However, its application has been limited by low throughput and the need for specialized experimental…

Computer Vision and Pattern Recognition · Computer Science 2025-06-09 Tinglin Huang , Tianyu Liu , Mehrtash Babadi , Wengong Jin , Rex Ying

In this paper, we aim to synthesize cell microscopy images under different molecular interventions, motivated by practical applications to drug development. Building on the recent success of graph neural networks for learning molecular…

Biomolecules · Quantitative Biology 2020-06-16 Karren Yang , Samuel Goldman , Wengong Jin , Alex Lu , Regina Barzilay , Tommi Jaakkola , Caroline Uhler

Recent text-to-image diffusion models achieve impressive visual quality through extensive scaling of training data and model parameters, yet they often struggle with complex scenes and fine-grained details. Inspired by the self-reflection…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Le Zhuo , Liangbing Zhao , Sayak Paul , Yue Liao , Renrui Zhang , Yi Xin , Peng Gao , Mohamed Elhoseiny , Hongsheng Li

Recently developed generative methods, including invertible rescaling network (IRN) based and generative adversarial network (GAN) based methods, have demonstrated exceptional performance in image rescaling. However, IRN-based methods tend…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Jinmin Li , Tao Dai , Jingyun Zhang , Kang Liu , Jun Wang , Shaoming Wang , Shu-Tao Xia , Rizen Guo

In optical flow estimation task, coarse-to-fine (C2F) warping strategy is widely used to deal with the large displacement problem and provides efficiency and speed. However, limited by the small search range between the first images and…

Computer Vision and Pattern Recognition · Computer Science 2020-11-20 Suihanjin Yu , Youmin Zhang , Chen Wang , Xiao Bai , Liang Zhang , Edwin R. Hancock

Traditional discriminative computer vision relies predominantly on static projections, mapping input features to outputs in a single computational step. Although efficient, this paradigm lacks the iterative refinement and robustness…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Om Govind Jha , Manoj Bamniya , Ayon Borthakur

Learning matrix-valued distributions from high-dimensional and possibly incomplete training data is challenging: ambient-space generative modeling is computationally expensive and statistically fragile when the matrix dimension is large but…

Machine Learning · Computer Science 2026-04-29 Dongze Wu , Linglingzhi Zhu , Yao Xie

Over the past decade, advances in generative modeling, such as generative adversarial networks, masked autoencoders, and diffusion models, have significantly transformed biological research and discovery, enabling breakthroughs in molecule…

Machine Learning · Computer Science 2026-03-10 Zihao Li , Zhichen Zeng , Xiao Lin , Feihao Fang , Yanru Qu , Zhe Xu , Zhining Liu , Xuying Ning , Tianxin Wei , Ge Liu , Hanghang Tong , Jingrui He
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